#1159636 (C++23) No.3501 Digit Products 2

• 問題: No.3501 Digit Products 2
• ユーザー: amano-amane
• 提出日時: 2026-04-18 14:25:30
• 言語: C++23 (gcc 15.2.0 + boost 1.89.0)
• 結果: WA
• 実行時間: -
• コード長: 3,491 bytes
• コンパイル時間: 4,356 ms
• コンパイル使用メモリ: 375,248 KB
• 実行使用メモリ: 30,320 KB
• 平均クエリ数: 10.89
• 最終ジャッジ日時: 2026-04-18 14:25:55
• 合計ジャッジ時間: 13,631 ms
• ジャッジサーバーID （参考情報）: judge2_0 / judge3_0

ファイルパターン	結果
sample	AC * 1
other	AC * 18 WA * 54

ソースコード

// Compile: g++ -std=c++20 -O2 -Wall -I$HOME/ctf/tools/ac-library -DLOCAL -o sol sol.cpp
// Or:      make sol   (uses Makefile in this dir)
// Run:     ./sol < in.txt
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;

using ll = long long;
using ull = unsigned long long;
using vi = vector<int>;
using vll = vector<ll>;
using vvi = vector<vi>;
using vvll = vector<vll>;
using pii = pair<int,int>;
using pll = pair<ll,ll>;

#define rep(i,n) for(ll i=0;i<(ll)(n);++i)
#define rep2(i,a,b) for(ll i=(ll)(a);i<(ll)(b);++i)
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define sz(x) ((ll)(x).size())

template<class T> bool chmin(T&a,const T&b){if(b<a){a=b;return true;}return false;}
template<class T> bool chmax(T&a,const T&b){if(a<b){a=b;return true;}return false;}

#ifdef LOCAL
#define dbg(x) cerr<<#x<<" = "<<(x)<<endl
#else
#define dbg(x)
#endif

using mint = modint998244353;
// using mint = modint1000000007;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    vector<int> prd(n - 1);
    for (int i = 1; i < n; i++) {
        int b = n - 1;
        int a = n - 1 - i;
        cout << "? " << a << " " << b << endl;
        int p;
        cin >> p;
        prd[i - 1] = p;
    }
    if(n==2) {
        if(prd[0] == 1) cout << "! 11" << endl;
        else if(prd[0] == 25) cout << "! 25" << endl;
        else if(prd[0] == 36) cout << "! 66" << endl;
        else if(prd[0] == 49) cout << "! 77" << endl;
        else if(prd[0] == 64) cout << "! 88" << endl;
        else if(prd[0] == 81) cout << "! 99" << endl;
        else cout << "! -1" << endl;
        return 0;
    }
    int count_not_zero = 0;
    int last_prd = 0;
    vector<int> last(2);
    for (int i = 0; i < n - 1; i++) {
        if(prd[i] != 0) {
            last[count_not_zero] = n - 2 - i;
            last_prd = prd[i];
            count_not_zero++;
            if (count_not_zero >= 2) break;
        }
    }
    if (count_not_zero >= 2){
        cout << "? " << last[1] << " " << last[0] << endl;
        int p;
        cin >> p;
        for (int first_digit = 1; first_digit <= 9; first_digit++){
            bool is_ok = true;
            rep(j, sz(prd)) {
                if (prd[j] % first_digit != 0) is_ok = false;
            }
            if(is_ok) {
                int a_digit = prd[n-2-last[1]] / first_digit;
                int b_digit = prd[n-2-last[0]] / first_digit;
                if( p == a_digit*b_digit) {
                    cout << first_digit;
                    rep(d, n-1) {
                        cout << prd[d] / first_digit;
                    }
                    cout << endl;
                    return 0;
                }
            }
        }
    }else{
        if (count_not_zero==0){
            cout << "! -1" << endl;
            return 0;
        }else{
            // 101,505,606,707,808,909は解けるはず・・・・
            if(last_prd==1 ||last_prd==25 ||last_prd==36 ||last_prd==49 ||last_prd==64 ||last_prd==81){
                int first_digit = (int)sqrt(last_prd);
                cout << first_digit;
                rep(d, n-1) {
                    if(d == n-1-last[0]) cout << first_digit;
                    else cout << "0";
                }
                cout << endl;
                return 0;
            }else{
                cout << "! -1" << endl;
            return 0;
            }
        }
    }
    return 0;
}